The cannon on a battleship can fire a shell a maximum distance of 36.0 km.   (a) Calculate the initial velocity of the shell.(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.)(c) The ocean is not flat since the earth is curved. How many meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface at the ship? Does your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? (Select all that apply.) The error is insignificant compared to the distance of travel. The error is significant compared to the distance of travel. The error could be significant compared to the size of a target. The error is insignificant compared to the size of a target.

A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round your answers to one decimal place. Use g = 9.8 m/s2. Enter your answer using interval notation. Enter your answer in terms of degrees without using a degree symbol.)

what is the maximum height of a bullet shot from a gun at 150 m/s at a 5.0 degree angle?

A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of ( 80m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall.)

A golfer launches a tee shot down a horizontal fairway and it follows a path given by r(t) = (at, (85-0.1a)t, - 5t² +60t), where t≥0 measures time in seconds and r has units of feet. The y-axis points straight down the fairway and the z-axis points vertically upward. The parameter a is the slice factor that determines how much the shot deviates from a straight path down the fairway. a. With no slice (a = 0), sketch and describe the shot. How far does the ball travel horizontally (the distance between the point the ball leaves the ground and the point where it first strikes the ground)? b. With a slice (a = 0.2), sketch and describe the shot. How far does the ball travel horizontally (along the y-axis)? c. How far does the ball travel horizontally (along the y-axis) with a = 2.5?

the muzzle velocity of a new cannon. It was 289 m/s. Now the cannon is deployed and the military engineers have determined the walls of the fort are 1609 meters away. If the artillery crew aims for 1611 m, the cannonball should hit the center of the wall. At what angle should the artillery crew fire the cannon to hit the walls? (Ignore the height of the cannon and assume the cannonball is fired from ground level. Also, you will need 2sinθcosθ = sin(2θ).)[Using the range equation is UNACCEPTABLE. You must solve the problem from scratch showing all of your work along the way.]

The cannon on a battleship can fire a shell a maximum distance of 24.0 km.(a) Calculate the initial velocity of the shell. m/s(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.) m(c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 24.0 km from the ship along a horizontal line parallel to the surface at the ship? m Does your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? (Select all that apply.) The error is significant compared to the distance of travel.The error could be significant compared to the size of a target.The error is insignificant compared to the distance of travel.The error is insignificant compared to the size of a target.